| THE STABILITY OF SCALAR AUTONOMOUS DIFFERENCE EQUATIONS |
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| 引用本文： | 张书年. THE STABILITY OF SCALAR AUTONOMOUS DIFFERENCE EQUATIONS[J]. Annals of Differential Equations, 1994, 0(3) |
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| 作者姓名： | 张书年 |
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| 作者单位： | 安徽大学 |
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| 摘 要： | ＴＨＥＳＴＡＢＩＬＩＴＹＯＦＳＣＡＬＡＲＡＵＴＯＮＯＭＯＵＳＤＩＦＦＥＲＥＮＣＥＥＱＵＡＴＩＯＮＳ￥ＺｈａｎｇＳｈｕｎｉａｎ（ＡｎｈｕｉＵｎｉｖｅｒｓｉｔｙ．）Ａｂｓｔｒａｃｔ：Ｔｈｅｇｅｎｅｒａｌｃｒｉｔｅｒｉａｏｆｓｔａｂｉｌｉｔｙｆｏｒｅｑｕｉ...
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THE STABILITY OF SCALAR AUTONOMOUS DIFFERENCE EQUATIONS |
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| Zhang Shunian. THE STABILITY OF SCALAR AUTONOMOUS DIFFERENCE EQUATIONS[J]. 微分方程年刊(英文版), 1994, 0(3) |
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| Authors: | Zhang Shunian |
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| Affiliation: | Anhui University. |
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| Abstract: | The general criteria of stability for equihbrium points of scalar autonomous difference equations are given, wich cover all the cases as long as the right-hand function has continuous derivatives up to the desired order. Thus, the stability problems of scalar autonomous difference equations are thoroughly solved. The proofs of the obtained criteria are mathematically rigorous and complete. Also, several exam pies are given to illustrate the obtained results. |
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| Keywords: | Scalar autonomous difference equations uniform asymptotic stability unstability attracting equilibrium points repelling equilibrium points. |
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